Abstract
Due to large number of decision variables and several hydraulic constraints, optimal design of water distribution networks (WDNs) is considered as one of the most complex optimization problems. This paper introduces and applies a new optimization approach, improved crow search algorithm (ICSA), based on the improvement of original crow search algorithm (CSA) by adding an operator parameter. Both approaches (i.e., CSA and ICSA) were applied to two case studies (i.e., Two-Reservoir and Khorramshahr City networks) by linking the hydraulic simulator (e.g., EPANET 2.0). The proposed ICSA saved the total construction cost by 2.16% and 1.79% for the Two-Reservoir and Khorramshahr City networks compared to the original CSA based on optimal network design, respectively. Results revealed that the proposed ICSA provided outstanding design for the both WDNs compared to previous studies and original CSA.
Similar content being viewed by others
References
Alperovits E, Shamir U (1977) Design of optimal water distribution systems. Water Resour Res 13(6):885–900
Artina S, Bragalli C, Erbacci G, Marchi A, Rivi M (2012) Contribution of parallel NSGA-II in optimal design of water distribution networks. J Hydroinf 14(2):310–323
Ashofteh PS, Haddad OB, Loáiciga HA (2015) Evaluation of climatic-change impacts on multiobjective reservoir operation with multiobjective genetic programming. J Water Resour Plan Manag 141(11):04015030
Askarzadeh A (2016) A novel metaheuristic method for solving constrained engineering optimization problems: crow search algorithm. Comput Struct 169:1–12
Chandramouli S (2015) Reliability based optimal design of a municipal water supply pipe network. Urban Water J 12(5):353–361
Cunha MDC, Ribeiro L (2004) Tabu search algorithms for water network optimization. Eur J Oper Res 157(3):746–758
Cunha MDC, Sousa J (1999) Water distribution network design optimization: simulated annealing approach. J Water Resour Plan Manag 125(4):215–221
Dandy GC, Simpson AR, Murphy LJ (1996) An improved genetic algorithm for pipe network optimization. Water Resour Res 32(2):449–458
Dorigo M (1992). Optimization, learning and natural algorithms. PhD Thesis, Politecnico di Milano
Eiger G, Shamir U, Ben-Tal A (1994) Optimal design of water distribution networks. Water Resour Res 30(9):2637–2646
Eusuff MM, Lansey KE (2003) Optimization of water distribution network design using the shuffled frog leaping algorithm. J Water Resour Plan Manag 129(3):210–225
Farmani R, Abadia R, Savic D (2007) Optimum design and management of pressurized branched irrigation networks. J Irrig Drain Eng 133(6):528–537
Fujiwara O, Khang DB (1990) A two-phase decomposition method for optimal design of looped water distribution networks. Water Resour Res 26(4):539–549
Geem ZW (2009) Particle-swarm harmony search for water network design. Eng Optim 41(4):297–311
Geem ZW, Kim JH, Loganathan GV (2002) Harmony search optimization: application to pipe network design. Int J Model Simul 22(2):125–133
Giudicianni C, Di Nardo A, Di Natale M, Greco R, Santonastaso G, Scala A (2018) Topological taxonomy of water distribution networks. Water 10(4):444
Giustolisi O, Laucelli D, Colombo AF (2009) Deterministic versus stochastic design of water distribution networks. J Water Resour Plan Manag 135(2):117–127
Goldberg DE, Holland JH (1988) Genetic algorithms and machine learning. Mach Learn 3(2):95–99
Haddad OB, Adams BJ, Mariño MA (2008) Optimum rehabilitation strategy of water distribution systems using the HBMO algorithm. J Water Supply Res Technol AQUA 57(5):337–350
Haddad OB, Latifi M, Bozorgi A, Rajabi MM, Naeeni ST, Loáiciga HA (2018) Development and application of the anarchic society algorithm (ASO) to the optimal operation of water distribution networks. Water Sci Technol Water Supply 18(1):318–332
Haghighi A, Samani HM, Samani ZM (2011) GA-ILP method for optimization of water distribution networks. Water Resour Manag 25(7):1791–1808
Jabbary A, Podeh HT, Younesi H, Haghiabi AH (2016) Development of central force optimization for pipe-sizing of water distribution networks. Water Sci Technol Water Supply 16(5):1398–1409
Johns MB, Keedwell E, Savic D (2014) Adaptive locally constrained genetic algorithm for least-cost water distribution network design. J Hydroinf 16(2):288–301
Kadu MS, Gupta R, Bhave PR (2008) Optimal design of water networks using a modified genetic algorithm with reduction in search space. J Water Resour Plan Manag 134(2):147–160
Kapelan Z, Babayan AV, Savic DA, Walters GA, Khu ST (2004) Two new approaches for the stochastic least cost design of water distribution systems. Water Sci Technol Water Supply 4(5–6):355–363
Keedwell E, Khu ST (2005) A hybrid genetic algorithm for the design of water distribution networks. Eng Appl Artif Intell 18(4):461–472
Lin MD, Liu YH, Liu GF, Chu CW (2007) Scatter search heuristic for least-cost design of water distribution networks. Eng Optim 39(7):857–876
Liong SY, Atiquzzaman M (2004) Optimal design of water distribution network using shuffled complex evolution. Journal of The Institution of Engineers, Singapore 44(1):93–107
Mohammadi-Aghdam K, Mirzaei I, Pourmahmood N, Pourmahmood-Aghababa M (2015) Application of dynamic mutated particle swarm optimization algorithm to design water distribution networks. Journal of Water and Wastewater 26(4):88–99 (In Persian)
Moosavian N, Roodsari BK (2014) Soccer league competition algorithm: a novel meta-heuristic algorithm for optimal design of water distribution networks. Swarm and Evolutionary Computation 17:14–24
Mora-Melia D, Iglesias-Rey PL, Martinez-Solano FJ, Fuertes-Miquel VS (2013) Design of water distribution networks using a pseudo-genetic algorithm and sensitivity of genetic operators. Water Resour Manag 27(12):4149–4162
Mora-Melia D, Iglesias-Rey PL, Martinez-Solano FJ, Ballesteros-Pérez P (2015) Efficiency of evolutionary algorithms in water network pipe sizing. Water Resour Manag 29(13):4817–4831
Perelman L, Housh M, Ostfeld A (2013) Least-cost design of water distribution systems under demand uncertainty: the robust counterpart approach. J Hydroinf 15(3):737–750
Quindry GE, Liebman JC, Brill ED (1981) Optimization of looped water distribution systems. J Environ Eng Div 107(4):665–679
Reca J, Martínez J, Gil C, Baños R (2008) Application of several meta-heuristic techniques to the optimization of real looped water distribution networks. Water Resour Manag 22(10):1367–1379
Rossman LA (2000). “EPANET 2: User Manual”. National Risk Management Research Laboratory, Office of Research and Development, US Environmental Protection Agency, Cincinnati, OH
Samani HM, Zanganeh A (2010). Optimisation of water networks using linear programming. In Proceedings of the Institution of Civil Engineers-Water Management (Vol. 163, No. 9, pp. 475–485). Thomas Telford Ltd
Schaake JC, Lai FH (1969). Linear programming and dynamic programming application to water distribution network design. MIT Hydrodynamics Laboratory
Sedki A, Ouazar D (2012) Hybrid particle swarm optimization and differential evolution for optimal design of water distribution systems. Adv Eng Inform 26(3):582–591
Sharma AK, Swamee PK (2013) Application of linear programming for looped water supply pipe network design. Water Sci Technol Water Supply 13(5):1195–1201
Sheikholeslami R, Zecchin AC, Zheng F, Talatahari S (2016) A hybrid cuckoo–harmony search algorithm for optimal design of water distribution systems. J Hydroinf 18(3):544–563
Shibu A, Reddy MJ (2014) Optimal design of water distribution networks considering fuzzy randomness of demands using cross entropy optimization. Water Resour Manag 28(12):4075–4094
Simpson AR, Dandy GC, Murphy LJ (1994) Genetic algorithms compared to other techniques for pipe optimization. J Water Resour Plan Manag 120(4):423–443
Suribabu CR (2010) Differential evolution algorithm for optimal design of water distribution networks. J Hydroinf 12(1):66–82
Suribabu CR (2012) Heuristic-based pipe dimensioning model for water distribution networks. Journal of Pipeline Systems Engineering and Practice 3(4):115–124
Suribabu CR, Neelakantan TR (2006) Design of water distribution networks using particle swarm optimization. Urban Water J 3(2):111–120
Tolson BA, Asadzadeh M, Maier HR, Zecchin A (2009) Hybrid discrete dynamically dimensioned search (HD-DDS) algorithm for water distribution system design optimization. Water Resour Res 45(12)
Vairavamoorthy K, Ali M (2000) Optimal design of water distribution systems using genetic algorithms. Computer-Aided Civil and Infrastructure Engineering 15(5):374–382
Vairavamoorthy K, Ali M (2005) Pipe index vector: a method to improve genetic-algorithm-based pipe optimization. J Hydraul Eng 131(12):1117–1125
Wu ZY, Simpson AR (2001) Competent genetic-evolutionary optimization of water distribution systems. J Comput Civ Eng 15(2):89–101
Yazdani A, Jeffrey P (2011) Complex network analysis of water distribution systems. Chaos: An Interdisciplinary Journal of Nonlinear Science 21(1):016111
Acknowledgements
We firstly acknowledge Dr. Zanganeh and Dr. Jabbary for providing their assistance in giving Khorramshahr case data. The authors also would like to thank Dr. Farmani and Dr. Ghazanfari for their extremely helpful comments and suggestions on an earlier version of this paper. Authors acknowledge the editor and anonymous reviewers for providing constructive comments to improve the quality of the work.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of Interests
The authors declare that they have no conflict of interest.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fallah, H., Kisi, O., Kim, S. et al. A New Optimization Approach for the Least-Cost Design of Water Distribution Networks: Improved Crow Search Algorithm. Water Resour Manage 33, 3595–3613 (2019). https://doi.org/10.1007/s11269-019-02322-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-019-02322-8